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Calculus, Differential Equations, and Statistics Explained

Calculus 1: Math 120, 130, and 140

Using calculus to minimize inventory costs for a manufacturing operation

By: Alex

A lot of the "word problems" that come up in calculus seem silly and contrived, because they are. The inventory…

Optimization: using calculus to find maximum area or volume

By: Mark

Optimization, or finding the maximums or minimums of a function, is one of the first applications of the derivative…

An easier way to take the derivative of complicated logarithmic functions

By: Alex

Math can often feel overwhelming. Sometimes, it just looks overwhelming, even when you actually…

An Overview of the Natural Logarithm: Common Questions and Mistakes Explained

By: Jesse

What is the natural logarithm?

This part is optional, as students are unlikely to be tested on this…

Finding the area of (almost) any closed region

By: Alex

Howdy folks, Alex here! I thought I'd start this blog off right, with one of the most popular (and head-spinning)…

Calculus 2: Math 141

The how and why of partial fraction expansion with unfactorable quadratics in the denominator

By: Alex

A flowchart for dealing with mathematical series

By: Alex

The chapter on series is notorious for making calculus students want to hurl their textbooks into a fire, curl…

Calculus 3: Math 241

Finding absolute maximums and minimums of a 2-variable function on a closed region

By: Alex

Tonight, on the World's Most Extreme Values. One 2-variable function. One closed region. One shot at glory.…

Differential Equations: Math 246

Solving a second-order, homogeneous differential equation with complex roots

By: Alex

Or more specifically, a second-order linear homogeneous differential equation with complex roots. …

The how and why of partial fraction expansion with unfactorable quadratics in the denominator

By: Alex